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84013328400 = 2435270011107
BaseRepresentation
bin100111000111110010…
…1011010100000010000
322000212000220021120120
41032033211122200100
52334024403002100
6102332321110240
76032633336331
oct1161745324020
9260760807516
1084013328400
11326a2374111
1214347a88380
137bcb742051
1440cdb9c288
1522ba9c80a0
hex138f95a810

84013328400 has 60 divisors (see below), whose sum is σ = 269122699152. Its totient is φ = 22403553920.

The previous prime is 84013328393. The next prime is 84013328401. The reversal of 84013328400 is 482331048.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (84013328401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35004354 + ... + 35006753.

Almost surely, 284013328400 is an apocalyptic number.

84013328400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84013328400 is an abundant number, since it is smaller than the sum of its proper divisors (185109370752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84013328400 is a wasteful number, since it uses less digits than its factorization.

84013328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70011128 (or 70011117 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 84013328400 its reverse (482331048), we get a palindrome (84495659448).

The spelling of 84013328400 in words is "eighty-four billion, thirteen million, three hundred twenty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 70011107 140022214 210033321 280044428 350055535 420066642 560088856 700111070 840133284 1050166605 1120177712 1400222140 1680266568 1750277675 2100333210 2800444280 3360533136 3500555350 4200666420 5250833025 5600888560 7001110700 8401332840 10501666050 14002221400 16802665680 21003332100 28004442800 42006664200 84013328400